Totally disconnected compactifications

There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.

Saved in:
Bibliographic Details
Main Author: Parfeny P. Saworotnow
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000808
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832563594742464512
author Parfeny P. Saworotnow
author_facet Parfeny P. Saworotnow
author_sort Parfeny P. Saworotnow
collection DOAJ
description There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.
format Article
id doaj-art-d15c3cda5b514b4799f5f3240a0f6f16
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1993-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d15c3cda5b514b4799f5f3240a0f6f162025-02-03T01:13:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116465365610.1155/S0161171293000808Totally disconnected compactificationsParfeny P. Saworotnow0Department of Mathematics, The Catholic University of America, Washington, DC 20064, USAThere is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.http://dx.doi.org/10.1155/S0161171293000808Gelfand theoryStone spacesBoolean ringsBoolean algebras. totally disconnected spacestotally disconnected compactificationsHausdorff compactifications Stone representation theorem.
spellingShingle Parfeny P. Saworotnow
Totally disconnected compactifications
International Journal of Mathematics and Mathematical Sciences
Gelfand theory
Stone spaces
Boolean rings
Boolean algebras. totally disconnected spaces
totally disconnected compactifications
Hausdorff compactifications
Stone representation theorem.
title Totally disconnected compactifications
title_full Totally disconnected compactifications
title_fullStr Totally disconnected compactifications
title_full_unstemmed Totally disconnected compactifications
title_short Totally disconnected compactifications
title_sort totally disconnected compactifications
topic Gelfand theory
Stone spaces
Boolean rings
Boolean algebras. totally disconnected spaces
totally disconnected compactifications
Hausdorff compactifications
Stone representation theorem.
url http://dx.doi.org/10.1155/S0161171293000808
work_keys_str_mv AT parfenypsaworotnow totallydisconnectedcompactifications